Achemist needs 500.0 ml of a 1.500 m perchloric acid solution. the stockroom provides the chemist with 10.00 l of 15.75 m perchloric acid solution to prepare the required solution. calculate the volume of concentrated acid required.

-  47.62 mL

Solution:- It is a dilution problem where we are asked to calculate the volume of 15.75 M perchloric acid solution required to make 500.0 mL of 1.500 M solution.

For solving this type of problems we use the dilution equation:

Where, is the concentration of the concentrated solution and is it's volume.

is the concentration of the diluted solution and is it's volume.  Let's plug in the values in the equation and solve it for .

On rearranging this for :

So, 47.62 mL of 15.75 M perchloric acid are required to make 500.0mL of 1.500 M solution.

the answer is d. 74.02